Bihar (; Hindi pronunciation: [bɪˈɦaːr] (listen)) is a state in eastern India. It is the third-largest state by population and twelfth-largest by territory, with an area of 94,163 km2 (36,357 sq mi). Bihar borders Uttar Pradesh to its west, Nepal to the north, the northern part of West Bengal to the east, and with Jharkhand to the south. The Bihar plain is split by the river Ganges, which flows from west to east. Bihar is also the world's fourth-most populous subnational entity.On 15 November 2000, southern Bihar was ceded to form the new state of Jharkhand. Only 11.3% of the population of Bihar lives in urban areas, which is the lowest in India after Himachal Pradesh. Additionally, almost 58% of Biharis are below the age of 25, giving Bihar the highest proportion of young people of any Indian state. The official languages are Hindi and Urdu, although other languages are common, including Maithili, Magahi, Bhojpuri and other Languages of Bihar. In Ancient and Classical India, the area that is now Bihar was considered the centre of political and cultural power and as a haven of learning From Magadha arose India's first empire, the Maurya empire, as well as one of the world's most widely adhered-to religions: Buddhism. Magadha empires, notably under the Maurya and Gupta dynasties, unified large parts of South Asia under a central rule. Another region of Bihar is Mithila which was an early centre of learning and the centre of the Videha kingdom.However, since the late 1970s, Bihar has lagged far behind other Indian states in terms of social and economic development. It's gained a highly negative reputation among the denizens of India to a degree where being called 'Bihari' is an insult. Many economists and social scientists claim that this is a direct result of the policies of the central government, such as the freight equalisation policy, its apathy towards Bihar, lack of Bihari sub-nationalism, and the Permanent Settlement of 1793 by the British East India Company. The state government has, however, made significant strides in developing the state. Improved governance has led to an economic revival in the state through increased investment in infrastructure, better healthcare facilities, greater emphasis on education, and a reduction in crime and corruption.

Patna (Hindi: [ˈpəʈnaː] (listen)), historically known as Pataliputra, is the capital and largest city of the state of Bihar in India. According to the United Nations, as of 2018, Patna had a population of 2.35 million, making it the 19th largest city in India. Covering 250 square kilometres (97 sq mi) and over 2.5 million people, its urban agglomeration is the 18th largest in India. Patna serves as the seat of Patna High Court. The Buddhist, Hindu and Jain pilgrimage centres of Vaishali, Rajgir, Nalanda, Bodh Gaya and Pawapuri are nearby and Patna City is a sacred city for Sikhs as the tenth Sikh Guru, Guru Gobind Singh was born here. The modern city of Patna is mainly on the southern bank of the river Ganges. The city also straddles the rivers Sone, Gandak and Punpun. The city is approximately 35 kilometres (22 mi) in length and 16 to 18 kilometres (9.9 to 11.2 mi) wide. One of the oldest continuously inhabited places in the world, Patna was founded in 490 BCE by the king of Magadha. Ancient Patna, known as Pataliputra, was the capital of the Magadh Empire through Haryanka, Nanda, Mauryan, Shunga, Gupta and Pala dynasties. Pataliputra was a seat of learning and fine arts. It was home to many astronomers and scholars including Aryabhata, Vātsyāyana and Chanakya. During the Maurya period (around 300 BCE) its population was about 400,000. Patna served as the seat of power, and political and cultural centre of the Indian subcontinent during the Maurya and Gupta empires. With the fall of the Gupta Empire, Patna lost its glory. It was revived again in the 17th century by the British as a centre of international trade. Following the partition of Bengal presidency in 1912, Patna became the capital of Bihar and Orissa Province.Until the 19th century it was a major trading and commercial hub in India. After independence there were a few downturns but its economy was still stable. After the separation of Jharkhand from Bihar, it lost its glory. Now trials are made to develop the city. As per the Directorate of Economics and Statistics (Government of Bihar), Nominal GDP of Patna District was estimated at INR 63,176.55 crores in 2011-12. As of 2011-12, Patna already recorded per capita gross domestic product of ₹1,08,657, way ahead of many other Indian cities and state capitals. Using figures for assumed average annual growth, Patna is the 21st fastest growing city in the world and 5th fastest growing city in India according to a study by the City Mayors Foundation. Patna registered an average annual growth of 3.72% during 2006–2010. As of 2011-12, GDP per capita of Patna is ₹1,08,657 and its GDP growth rate is 7.29 per cent. In June 2009, the World Bank ranked Patna second in India (after Delhi) for ease of starting a business.